5L 3s

Revision as of 12:12, 7 September 2010 by Wikispaces>Andrew_Heathwaite (**Imported revision 160864197 - Original comment: **)

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This revision was by author Andrew_Heathwaite and made on 2010-09-07 12:12:17 UTC.
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Original Wikitext content:

5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of [[5edo]] = approx. 480¢) to 3\8 (three degrees of [[8edo]] = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this:

||   ||   ||   ||   || scale || g in cents || 2g || 3g || 4g ||
|| 2\5 ||   ||   ||   || 1 0 1 1 0 1 0 1 || 480.000 || 960.000 || 240.000 || 720.000 ||
||   ||   ||   || 9\23 || 4 1 4 4 1 4 1 4 || 469.565 || 939.130 || 208.696 || 678.261 ||
||   ||   || 7\18 ||   || 3 1 3 3 1 3 1 3 || 466.667 || 933.333 || 200.000 || 666.667 ||
||   ||   ||   || 12\31 || 5 2 5 5 2 5 2 5 || 464.516 || 929.032 || 193.549 || 658.065 ||
||   || 5\13 ||   ||   || 2 1 2 2 1 2 1 2 || 461.538 || 923.077 || 184.615 || 646.154 ||
||   ||   ||   || 13\34 || 5 3 5 5 3 5 3 5 || 458.824 || 917.647 || 176.471 || 635.294 ||
||   ||   || 8\21 ||   || 3 2 3 3 2 3 2 3 || 457.143 || 914.286 || 171.429 || 628.571 ||
||   ||   ||   || 11\29 || 4 3 4 4 3 4 3 4 || 455.172 || 910.345 || 165.517 || 620.690 ||
|| 3\8 ||   ||   ||   || 1 1 1 1 1 1 1 1 || 450.000 || 900.000 || 150.000 || 600.000 ||

Original HTML content:

<html><head><title>5L 3s</title></head><body>5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of <a class="wiki_link" href="/5edo">5edo</a> = approx. 480¢) to 3\8 (three degrees of <a class="wiki_link" href="/8edo">8edo</a> = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this:<br />
<br />


<table class="wiki_table">
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>scale<br />
</td>
        <td>g in cents<br />
</td>
        <td>2g<br />
</td>
        <td>3g<br />
</td>
        <td>4g<br />
</td>
    </tr>
    <tr>
        <td>2\5<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1 0 1 1 0 1 0 1<br />
</td>
        <td>480.000<br />
</td>
        <td>960.000<br />
</td>
        <td>240.000<br />
</td>
        <td>720.000<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>9\23<br />
</td>
        <td>4 1 4 4 1 4 1 4<br />
</td>
        <td>469.565<br />
</td>
        <td>939.130<br />
</td>
        <td>208.696<br />
</td>
        <td>678.261<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>7\18<br />
</td>
        <td><br />
</td>
        <td>3 1 3 3 1 3 1 3<br />
</td>
        <td>466.667<br />
</td>
        <td>933.333<br />
</td>
        <td>200.000<br />
</td>
        <td>666.667<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>12\31<br />
</td>
        <td>5 2 5 5 2 5 2 5<br />
</td>
        <td>464.516<br />
</td>
        <td>929.032<br />
</td>
        <td>193.549<br />
</td>
        <td>658.065<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5\13<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>2 1 2 2 1 2 1 2<br />
</td>
        <td>461.538<br />
</td>
        <td>923.077<br />
</td>
        <td>184.615<br />
</td>
        <td>646.154<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>13\34<br />
</td>
        <td>5 3 5 5 3 5 3 5<br />
</td>
        <td>458.824<br />
</td>
        <td>917.647<br />
</td>
        <td>176.471<br />
</td>
        <td>635.294<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>8\21<br />
</td>
        <td><br />
</td>
        <td>3 2 3 3 2 3 2 3<br />
</td>
        <td>457.143<br />
</td>
        <td>914.286<br />
</td>
        <td>171.429<br />
</td>
        <td>628.571<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>11\29<br />
</td>
        <td>4 3 4 4 3 4 3 4<br />
</td>
        <td>455.172<br />
</td>
        <td>910.345<br />
</td>
        <td>165.517<br />
</td>
        <td>620.690<br />
</td>
    </tr>
    <tr>
        <td>3\8<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1 1 1 1 1 1 1 1<br />
</td>
        <td>450.000<br />
</td>
        <td>900.000<br />
</td>
        <td>150.000<br />
</td>
        <td>600.000<br />
</td>
    </tr>
</table>

</body></html>